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209660163328 = 2871117625657
BaseRepresentation
bin1100001101000010111…
…0000011010100000000
3202001011120120211100101
43003100232003110000
511413341000211303
6240152212532144
721101400661330
oct3032056032400
9661146524311
10209660163328
1180a09772960
1234772921054
1316a037a1455
14a20d0610c0
1556c15a4d1d
hex30d0b83500

209660163328 has 144 divisors (see below), whose sum is σ = 552461019264. Its totient is φ = 76880609280.

The previous prime is 209660163319. The next prime is 209660163329. The reversal of 209660163328 is 823361066902.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209660163329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22276 + ... + 647932.

It is an arithmetic number, because the mean of its divisors is an integer number (3836534856).

Almost surely, 2209660163328 is an apocalyptic number.

209660163328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209660163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276230509632).

209660163328 is an abundant number, since it is smaller than the sum of its proper divisors (342800855936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

209660163328 is a wasteful number, since it uses less digits than its factorization.

209660163328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625708 (or 625694 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The spelling of 209660163328 in words is "two hundred nine billion, six hundred sixty million, one hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 128 136 154 176 187 224 238 256 272 308 352 374 448 476 544 616 704 748 896 952 1088 1232 1309 1408 1496 1792 1904 2176 2464 2618 2816 2992 3808 4352 4928 5236 5984 7616 9856 10472 11968 15232 19712 20944 23936 30464 41888 47872 83776 167552 335104 625657 1251314 2502628 4379599 5005256 6882227 8759198 10010512 10636169 13764454 17518396 20021024 21272338 27528908 35036792 40042048 42544676 48175589 55057816 70073584 74453183 80084096 85089352 96351178 110115632 116997859 140147168 148906366 160168192 170178704 192702356 220231264 233995718 280294336 297812732 340357408 385404712 440462528 467991436 560588672 595625464 680714816 770809424 818985013 880925056 935982872 1121177344 1191250928 1361429632 1541618848 1637970026 1761850112 1871965744 2382501856 2722859264 3083237696 3275940052 3743931488 4765003712 6166475392 6551880104 7487862976 9530007424 12332950784 13103760208 14975725952 19060014848 26207520416 29951451904 52415040832 104830081664 209660163328